An infinitely long object consists of an inner cylinder of radius a which has a uniform positive volume charge density p > 0 and a concentric thin cylinder of radius b which has a uniform negative surface charge density < 0 is shown in figure 7. The total charges on the cylinders. are equal but opposite.

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An infinitely long object consists of an inner cylinder of radius a which has a uniform positive
volume charge density p > 0 and a concentric thin cylinder of radius b which has a uniform
negative surface charge density o<0 is shown in figure 7. The total charges on the cylinders
are equal but opposite.
a) Calculate the electric field for r <a.
b) Calculate the electric field for a <r<b.
P>0
Figure 7: A cross-sectional view of two cylinders
c) Calculate the electric field for r > b.
b
0 <0
d) Calculate the electric potential difference for r <a, relative to a reference radius A. Justify
the sign of AV.
e) Calculate the electrostatic energy per unit length of the object.
Transcribed Image Text:An infinitely long object consists of an inner cylinder of radius a which has a uniform positive volume charge density p > 0 and a concentric thin cylinder of radius b which has a uniform negative surface charge density o<0 is shown in figure 7. The total charges on the cylinders are equal but opposite. a) Calculate the electric field for r <a. b) Calculate the electric field for a <r<b. P>0 Figure 7: A cross-sectional view of two cylinders c) Calculate the electric field for r > b. b 0 <0 d) Calculate the electric potential difference for r <a, relative to a reference radius A. Justify the sign of AV. e) Calculate the electrostatic energy per unit length of the object.
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